2 4.6.3 Test (CST): Undoing Functions and Moving Them Around
Question 21 of 25
Suppose that g(x) = f(x) + 2. Which statement best compares the graph of
g(x) with the graph of f(x)?
A. The graph of g(x) is vertically stretched by a factor of 2.
B. The graph of g(x) is shifted 2 units up.
C. The graph of g(x) is shifted 2 units down.
D. The graph of g(x) is shifted 2 units to the right.
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Answer:

The graph of g(x) is shifted 2 units down

Step-by-step explanation:

Here, we want to get the relationship between g(x) and f(x)

As we can see, we added 2 to the entirety of f(x) to get g(x)

What this simply means is that it is the y-axis we have business with

Adding 2 to the previous y-axis values in f(x) means we are moving upwards to the tune of 2 units to get the y values of g(x)

so what this simply means is that the graph of f(x) is shifted 2 units up

or

the graph of g(x) is shifted 2 units down to get the y-axis values of f(x)

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